How to find mean

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ISEE Middle Level Quantitative Reasoning › How to find mean

Questions 1 - 10
1

Find the mean of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Explanation

In order to answer this question correctly, we need to recall the definition of mean:

Mean: The mean of a data set is the average of the numbers in a data set.

In order to calculate the mean we must first add up all of the numbers in the data set:

Next, we need to divide by the number of addends, or the number of numbers in the data set:

The mean for this data set is

2

Find the mean of the following set of numbers:

46.7

43

54.5

40.9

Explanation

The mean is equal to the sum of the values divided by the total number of values.

3

Using the information given in each question, compare the quantity in Column A to the quantity in Column B.

Allie has scored 79, 77, 96, 71, 85, 86, 90, and 84 on her eight science quizzes, and her teacher drops the highest and lowest score.

Column A Column B

Allie's quiz average Allie's quiz average

before the dropped scores after the dropped scores

The two quantities are equal.

The quantity in Column A is greater.

The quantity in Column B is greater.

The relationship cannot be determined from the information given.

Explanation

Add up the 8 test scores and divide by 8 to figure out the mean (83.5). Now figure out the average between the highest and lowest scores

Since the dropped tests have the same average as the original 8 tests, Allie's score would not change. The correct answer is that the two columns are equal.

Note: If you are good at mental math, here is a quick way to figure out the average of the 8 tests:

First, estimate the average (say, 80). Next, go through the numbers and add or subtract the difference between the number and 80.

79 is 1 below 80.

77 is 3 below 80 (so now we're 4 below 80).

As we continue through the numbers, we get

12 above, 3 above, 8 above, 14 above, 24 above, 28 above.

So the 8 scores are cumulatively 28 above an average score of 80. Now, simply divide 28 by 8 and add this to 80.

4

Give the mean of the data set (nearest tenth, if applicable):

Explanation

Add the six elements and divide the sum by 6:

5

Find the mean in this set of numbers:

Explanation

First, add all the numbers in this set:

Then, divide by 5:

Answer: The mean is 594.

6

What is the mean of the following numbers?

Explanation

The mean is determined by calculating the sum of all values divided by the total number of values:

7

Find the mean of the following set of numbers:

Explanation

To solve, simply add them all up and divide by their total.

Thus,

8

Use the following data set to answer the question:

Find the mean.

Explanation

To find the mean, or the average, we will use the following formula:

So, given the set

we will first find the sum. To find the sum, we will add all of the numbers. So,

Now, we will determine the number of numbers within the set. In other words, we will count and see how many numbers are within the set. So,

Now, we will substitute this into the formula. We get

We can cancel the zero in and the zero in . We get

Therefore, the mean of the data set is .

9

In a group of 4 books, the average number of pages is is 10. Juan adds a book with 20 pages to the group. What is the new average number of pages?

Explanation

If the average of 4 books was 10, then the total number of pages was . Adding in the 20 new pages, but now dividing by 5 you get .

10

The annual total of potatoes grown on a farm is . What would the monthly average be for the year?

Explanation

To solve for mean, you must add up all of the values in your set then divide that total by the number of values you have.

The problem already gave us the total amount which represents the total for the year.

They ask for the monthly average which would mean you divide the total amount by the number of months which there are months in a year.

So the answer would be,

potatoes per month.

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